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Mrac [35]
2 years ago
11

Sam is renting one of two cars to go on a 300-mile trip. The first car can travel 75 miles on 5 gallons of gas. The second car c

an travel 240 miles on 20 gallons of gas. Each car costs the same to rent, and Sam wants to rent the car with the better gas mileage. Sam estimates that he will pay $49.49 for every 14 gallons of gas he has to buy. Which car should Same rent, and how much money should Sam bring for gas? Explain your reasoning
Mathematics
1 answer:
djverab [1.8K]2 years ago
8 0
First let’s establish a few things, The first car can travel 300 miles with 20 gallons of gas, if 14 gallons of gas costs 49.49 then for ever gallon of gas Sam is paying 3 dollars and 53.5 cents. That means for 20 gallons, Sam will need around 71$ for the entire trip if he uses the first car.
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Plz help me solve these problems
leva [86]

Answer: <em><u>CAN YOU PLS MARK AS BRAINLIEST??</u></em>

a.x=11/4

b.x=6

c.x=21/2

d.x=0

Step-by-step explanation:

-2+3x+x=9-x

-2+3x+x=9

4x=9+2

4x=11

x=11/4

when you move a numerator to the other side it becomes a denominator

x+2=3/4x6

x+2=3/24

x=8-2

x=6

5-2x-12=14

2x=14-5+12

2x=21

x=21/2

1/2x=-3-1/2x+4-1

1/2x+1/2x=-3+4-1

x=0

6 0
3 years ago
Ray LC is an angle bisector of ∠JLY, m∠JLC = (6x + 1)°, and m∠JLY = (10x + 16)°.
Sloan [31]
4x + 15 = 6x - 1
x = 8
m∠JLC = 47°
3 0
3 years ago
What are the coordinates of the centroid of a triangle with vertices A(−3, 1) , B(1, 6) , and C(5, 2) ? Enter your answer in the
kirza4 [7]

<u>ANSWER</u>: The centroid is (1,3)


<u>Explanation:</u>

The centroid is the intersection of the medians of the triangle.

So we need to find the equation of any two of the medians and solve simultaneously.


Since the median is the straight line from one vertex to the midpoint of the opposite side, we find the midpoint of any two sides.


We find the midpoint of AC using the formula;

N=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})



N=(\frac{-3+5}{2}, \frac{1+2}{2})


N=(\frac{2}{2}, \frac{3}{2})


N=(1, \frac{3}{2})


The equation of the median passes through B(1,6) and N=(1, \frac{3}{2}).


This line is parallel to the y-axis hence has equation

x=1-------first median.



We also find the midpoint M of BC.

M=(\frac{1+5}{2}, \frac{6+2}{2})


M=(\frac{6}{2}, \frac{8}{2})


M=(3, 4)


The slope of the median, AM is


Slope_{AM}=\frac{4-1}{3--3}


Slope_{AM}=\frac{3}{6}


Slope_{AM}=\frac{1}{2}


The equation of the median AM is given by;


y-y_1=m(x-x_1)


We use the point M and the slope of AM.


y-4=\frac{1}{2}(x-3)


2y-8=(x-3)


2y-x=-3+8


2y-x=5-------Second median

We now solve the equation of the two medians simultaneously by putting x=1 in to the equation of the second median.


2y-1=5


2y=5+1


2y=6


y=3


Hence the centroid has coordinates (1,3)























7 0
2 years ago
Read 2 more answers
What is the volume of a rectangular prism with a length of 4 yards, width of 3 yards and height of 6 yards?
Lunna [17]
Volume= Length*Width*Height
V=(4)(3)(6)
V=72 yards cubed
The answer is A.
4 0
3 years ago
On a map, 90 miles is represented by 3 inches.
jarptica [38.1K]
If the ratio is 90:3 and there are 4 groups of 3 in 12, then the ratio would then be 450:12, leaving you with 450 as the answer. Hope I helped
4 0
3 years ago
Read 2 more answers
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